How to Find GCF of 6071/911, 7670/4564?

GCF of 6071/911, 7670/4564

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6071/911, 7670/4564 i.e 13/4157804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6071/911, 7670/4564.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6071/911,7670/4564?

Given fractions are 6071/911,7670/4564

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6071/911,7670/4564, numerators are 6071,7670

Denominators are 911,4564

The GCF of 6071,7670 is 13 .

LCM of 911,4564 is 4157804.

The greatest common factor of 6071/911,7670/4564 = [GCF of 6071,7670]/[LCM of 911,4564]= 13/4157804

Therefore, the GCF of 6071/911,7670/4564 is 13/4157804.

Greatest Common Factor of 6071,7670

To find the highest common factor of 6071,7670, we have to find the factors of both numbers and list the highest common factor.

The factors of 6071 are 1, 13, 467, 6071

The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670

The HCF of 6071,7670 is 13.

Lets's calculate GCF of 6071,7670

Greatest Common Factor (GCF) of 6071,7670 By Common Division

13	6071, 7670
	467, 590

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6071,7670 By Matching Biggest Common Factor Method

Now, list down the factors of 6071

1,13,467,6071

Now, list down the factors of 7670

1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670

Greatest Common Factor

We found the factors 6071,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 6071,7670 is 13.

Lets's calculate LCM of 911,4564

Lowest Common Multiple of 911,4564 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4157804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4157804

Therefore, the GCF of Fractions 6071/911,7670/4564 is 13/4157804

Least Common Multiple of 911,4564 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 911,4564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,4564) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(911,4564) x common factors =1 x 1 = 1

LCM(911,4564) = ( 911 × 4564 ) / 1

LCM(911,4564) = 4157804 / 1

LCM(911,4564) = 4157804

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FAQs on GCF of Fractions of 6071/911, 7670/4564

1. What is the HCF of 6071,7670?

The HCF of 6071,7670 is 13

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 6071/911, 7670/4564?

Answer: GCF of Numerators as per given numbers 6071/911, 7670/4564 is

GCF of Numerators i.e. for 6071,7670 is 13

LCM of denominators i.e. for 911,4564 is 4157804.

Thus, GCF of Fractions is 13/4157804.Finally, GCF of Fractions for 6071/911, 7670/4564 is 13/4157804.